Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator

DOI10.1016/j.geomphys.2014.06.002zbMath1293.30090OpenAlexW1988611933MaRDI QIDQ2250964

Haiyan Wang, Guang Bin Ren

Publication date: 22 July 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.06.002

zbMATH Keywords

\(k\)-Cauchy-Fueter operatorBochner-Martinelli formula

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

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Cites Work

• Explicit resolutions for the complex of several Fueter operators
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• Cohomology and massless fields
• Quaternionic complexes
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Analysis of Dirac systems and computational algebra.
• Quaternionic analysis and elliptic boundary value problems
• On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• Invariant resolutions for several Fueter operators
• Complex manifolds and mathematical physics
• Quaternionic analysis
• The Quaternion Calculus